Chapter 3: Multi-step Equations and Inequalities
Q. 9
The perimeter of the rectangle shown is 28 units. The length is 10 units. What is the width of the rectangle?
- Write an equation for the perimeter of the rectangle in terms of x.
- Solve the equation to find the value of x.
- Find the width of the rectangle using the value of x.
Check your answer.
Q9.
Amusement Parks You are trying to decide whether to pay \(120 for a season pass to an amusement park. If you buy the pass, you get an unlimited number of visits to the park and reduced parking for \)8. If you do not buy the pass, you pay \(23 admission and \)10 for parking each time you visit the park. After how many visits to the park will the cost of visiting with the season pass be less than cost of visiting without the season pass?
- Write a variable expression for the cost of making v visits to the park if you don’t buy a season pass.
- Write an inequality in terms of v showing that the cost of visiting the park with a season pass is less than the cost of visiting the park without a season pass.
- Solve the inequality.
Q9.
Describe and correct the error in solving the equation
4x + 7 = x – 2
Q9.
Solve the inequality. Graph and check your solution.